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2530383264 = 25328786053
BaseRepresentation
bin1001011011010010…
…1001010110100000
320112100100210021200
42112310221112200
520140234231024
61055030521200
7116463621453
oct22664512640
96470323250
102530383264
111089376442
125a7506200
13314309a06
141a00bd49a
15ec22d2c9
hex96d295a0

2530383264 has 36 divisors (see below), whose sum is σ = 7195778226. Its totient is φ = 843460992.

The previous prime is 2530383253. The next prime is 2530383367. The reversal of 2530383264 is 4623830352.

It is a happy number.

2530383264 is a `hidden beast` number, since 2 + 530 + 38 + 32 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2084835600 + 445547664 = 45660^2 + 21108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4392739 + ... + 4393314.

Almost surely, 22530383264 is an apocalyptic number.

2530383264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2530383264 is an abundant number, since it is smaller than the sum of its proper divisors (4665394962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2530383264 is a wasteful number, since it uses less digits than its factorization.

2530383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786069 (or 8786058 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2530383264 is about 50302.9150646362. The cubic root of 2530383264 is about 1362.6848748827.

The spelling of 2530383264 in words is "two billion, five hundred thirty million, three hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8786053 17572106 26358159 35144212 52716318 70288424 79074477 105432636 140576848 158148954 210865272 281153696 316297908 421730544 632595816 843461088 1265191632 2530383264